What is the domain and range of y=sin x?

The function \( y = \sin x \) is a fundamental trigonometric function with specific characteristics regarding its domain and range.

Domain of \( y = \sin x \)

The domain refers to all possible input values (x-values) for the function. For the sine function:

• The domain is all real numbers.
• This means you can input any value of \( x \) into the function.

Range of \( y = \sin x \)

The range indicates the possible output values (y-values) that the function can produce:

• The range of \( y = \sin x \) is from -1 to 1.
• This means the output will always be between -1 and 1, inclusive.

In summary, the domain of \( y = \sin x \) is all real numbers, while the range is from -1 to 1.